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120331021002020 = 225171492375266897
BaseRepresentation
bin11011010111000010111111…
…110000110010010100100100
3120210001112101202012020112022
4123113002333300302110210
5111233000412334031040
61103531150301442312
734226425606240613
oct3327027760622444
9523045352166468
10120331021002020
1135383110372464
12115b4b5b570398
13521b22200207a
1421a00a407387a
15dda1453bc6b5
hex6d70bfc32524

120331021002020 has 48 divisors (see below), whose sum is σ = 269355266233200. Its totient is φ = 44997056077824.

The previous prime is 120331021002011. The next prime is 120331021002041. The reversal of 120331021002020 is 20200120133021.

120331021002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 588031316224 + 119742989685796 = 766832^2 + 10942714^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 120331021002020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187582789 + ... + 1187684108.

It is an arithmetic number, because the mean of its divisors is an integer number (5611568046525).

Almost surely, 2120331021002020 is an apocalyptic number.

120331021002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120331021002020 is an abundant number, since it is smaller than the sum of its proper divisors (149024245231180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120331021002020 is a wasteful number, since it uses less digits than its factorization.

120331021002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375267072 (or 2375267070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120331021002020 its reverse (20200120133021), we get a palindrome (140531141135041).

The spelling of 120331021002020 in words is "one hundred twenty trillion, three hundred thirty-one billion, twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 1490 2533 2980 5066 10132 12665 25330 50660 2375266897 4750533794 9501067588 11876334485 23752668970 40379537249 47505337940 80759074498 161518148996 201897686245 353914767653 403795372490 707829535306 807590744980 1415659070612 1769573838265 3539147676530 6016551050101 7078295353060 12033102100202 24066204200404 30082755250505 60165510501010 120331021002020